A housewife is testing the cutting speeds of 4 brands of knives she has at home....

A housewife is testing the cutting speeds of 4 brands of knives she has at home. She chose 5 cutting materials of varying degree at home. Each material was cut once by each one of the 4 knives. (Hence after all 4 cuts the material was cut into 5 pieces).
1) Is this a randomized block design or two factor design?
If random block design, what is used as the block?
If two factor design, what are the two factors in the study?
1. State the null and alternative hypotheses.
2. Here is the output table for ANOVA test with missing values. Fill in the missing values (where the cells are underlined)

Source df SS MS F
Knife         310
Material          46
Error      12 24

1. What is the F statistic for the test? Will you reject or fail to reject (at alpha=0.05)?
2. What is the sum square of total?

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orchestra answered 2 years ago

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A housewife is testing the cutting speeds of 4 brands of knives she has at home....

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